Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200y |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
17408000000 = 216 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-6463] |
[a1,a2,a3,a4,a6] |
j |
62500/17 |
j-invariant |
L |
1.8134155086589 |
L(r)(E,1)/r! |
Ω |
0.90670775432954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200cm1 3400e1 1088d1 |
Quadratic twists by: -4 8 5 |